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Finding the Fourth Proportional to 183,817.60, 275,434.80 and 121,415.20

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Solution

The fourth proportional to 183,817.60, 275,434.80 and 121,415.20 is: 181,930.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,817.60 : 275,434.80 = 121,415.20 : x
  2. Step 2: Convert to fraction form
    183,817.60/275,434.80 = 121,415.20/x
  3. Step 3: Cross multiply
    183,817.60x = 275,434.80 × 121,415.20
  4. Step 4: Simplify right side
    183,817.60x = 33,441,971,328.96
  5. Step 5: Solve for x
    x = 33,441,971,328.96/183,817.60
  6. Step 6: Final answer
    x = 181,930.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.